1728027756 has 480 divisors, whose sum is σ = 6010583040. Its totient is φ = 420650496.

The previous prime is 1728027737. The next prime is 1728027757. The reversal of 1728027756 is 6577208271.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1728027757) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36766525 + ... + 36766571.

It is an arithmetic number, because the mean of its divisors is an integer number (12522048).

Almost surely, 2^1728027756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728027756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005291520).

1728027756 is an abundant number, since it is smaller than the sum of its proper divisors (4282555284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1728027756 is a wasteful number, since it uses less digits than its factorization.

1728027756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1728027756 is about 41569.5532331056. The cubic root of 1728027756 is about 1200.0064249656.

The spelling of 1728027756 in words is "one billion, seven hundred twenty-eight million, twenty-seven thousand, seven hundred fifty-six".